2.2.3 Predicate Logic

In predicate logic, statements (which are called predicates) can be expressed with variables that can be quantified (e.g. “for all values of …”). Event-B uses predicate logic with the following features:

Predicates and expressions are distinguished.

All expressions have a data type, e.g. integer or set of integers.

Quantification over variables, not predicates, is supported. This includes quantification over sets.

A partial function semantics is included, e.g. the predicate is not a tautology because does not represent a valid value.